By blending techniques from Set Theory and Algebraic Topology we investigate the order of any homeomorphism of the $n$th power of the long ray or long line $L$ having finite order, finding all possible orders when $n=1, 2, 3$ or 4 in the first case and when $n=1$ or 2 in the second. We also show that all finite powers of $L$ are acyclic with respect to Alexander-Spanier cohomology. |
Keywords
long line, long ray, Alexander-Spanier cohomology, torsion of homeomorphisms
Math Review Classification
Primary 55M35
; Secondary 57N65, 57N80, 57S17, 03E75
Last Updated
22/3/99
Length
14 pages
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